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Jobisdone [24]
3 years ago
13

Assume that the total revenue received from the sale of x items is given​ by, ​R(x)equals34 ln (4 x plus 5 )​, while the total c

ost to produce x items is ​C(x)equalsx divided by 2. Find the approximate number of items that should be manufactured so that​ profit, ​R(x)minus​C(x), is a maximum.
Mathematics
1 answer:
katen-ka-za [31]3 years ago
5 0

Answer:

63 units

Step-by-step explanation:

The profit function P(x) is given by the revenue function minus the cost function:

P(x) = R(x) - C(x)\\P(x) = 34ln(x+5)-\frac{x}{2}

The number of units sold 'x' for which the derivate of the profit function is zero, is the number of units that maximizes profit:

P(x) = 34ln(x+5)-\frac{x}{2}\\P'(x) =0= \frac{34}{x+5}-\frac{1}{2}\\x+5=68\\x=63\ units

The number of units that should be manufactured so that​ profit is maximum is 63 units.

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mr Goodwill [35]
Jk=8x+6
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kL=6x+20
L=(6x+20)/k

JL=(8x+6)/k * (6x+20)/k
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3 0
3 years ago
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viva [34]

Answer:

Step-by-step explanation:

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3 0
3 years ago
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The demand function for a product is given by p = −0.05x2− 0.3x + 8 where p is the unit price in dollars and x is the weekly dem
mr Goodwill [35]

Answer:

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Step-by-step explanation:

The equation will be exactly lie below if the price is 5$:

5=-0.05x^2-0.3x + 8\\0=-0.05x^2-0.3x+3

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6 0
3 years ago
I bought a TV. the screen is 52 inches wide and 29 inches high. find the length of its diagonal.​
Crank

Answer:

*3545*

Step-by-step explanation:

52 square + 29 square = 3545

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2 years ago
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inessss [21]

Answer:

A.  5 : 3

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Divide to the lowest terms

10 ÷ 2 : 6 ÷2

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